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Finding the Third Proportional to 78,687 and 170,500

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Solution

The third proportional to 78,687 and 170,500 is: 369,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,687 : 170,500 = 170,500 : x
  2. Step 2: Convert to fraction form
    78,687/170,500 = 170,500/x
  3. Step 3: Cross multiply
    78,687x = 170,500 × 170,500
  4. Step 4: Simplify right side
    78,687x = 29,070,250,000
  5. Step 5: Solve for x
    x = 29,070,250,000/78,687
  6. Step 6: Final answer
    x = 369,441.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.